Solve 51/6+11/3=

$$5 \frac { 1 } { 6 } + 1 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{13}{2}=6.5$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\frac{30+1}{6}+\frac{1\times 3+1}{3}$$

Add 30 and 1 to get 31.

$$\frac{31}{6}+\frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{31}{6}+\frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$\frac{31}{6}+\frac{4}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{31}{6} and \frac{4}{3} to fractions with denominator 6.

$$\frac{31}{6}+\frac{8}{6}$$

Since \frac{31}{6} and \frac{8}{6} have the same denominator, add them by adding their numerators.

$$\frac{31+8}{6}$$

Add 31 and 8 to get 39.

$$\frac{39}{6}$$

Reduce the fraction \frac{39}{6} to lowest terms by extracting and canceling out 3.

$$\frac{13}{2}$$

Factor

$$\frac{13}{2} = 6\frac{1}{2} = 6.5$$